What is the Least Common Multiple of 21490 and 21504?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 21490 and 21504 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21490 and 21504, than apply into the LCM equation.

GCF(21490,21504) = 14
LCM(21490,21504) = ( 21490 × 21504) / 14
LCM(21490,21504) = 462120960 / 14
LCM(21490,21504) = 33008640

Least Common Multiple (LCM) of 21490 and 21504 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21490 and 21504. First we will calculate the prime factors of 21490 and 21504.

Prime Factorization of 21490

Prime Factorization of 21504

Now multiplying the highest exponent prime factors to calculate the LCM of 21490 and 21504.

LCM(21490,21504) = 2¹⁰ × 5¹ × 7¹ × 307¹ × 3¹
LCM(21490,21504) = 33008640